How do you simplify √2 ( 3 + 3√2 )?

Oct 7, 2015

$3 \sqrt{2} + 6$

Explanation:

$\sqrt{2} \left(3 + 3 \sqrt{2}\right)$

Using the distributive property:
$= \sqrt{2} \cdot 3 + \sqrt{2} \cdot 3 \sqrt{2}$

$= 3 \sqrt{2} + 3 \cdot {\left(\sqrt{2}\right)}^{2}$

$= 3 \sqrt{2} + 6$